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Finding the Fourth Proportional to 74,989.12, 103,505.52 and 46,678

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Solution

The fourth proportional to 74,989.12, 103,505.52 and 46,678 is: 64,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,989.12 : 103,505.52 = 46,678 : x
  2. Step 2: Convert to fraction form
    74,989.12/103,505.52 = 46,678/x
  3. Step 3: Cross multiply
    74,989.12x = 103,505.52 × 46,678
  4. Step 4: Simplify right side
    74,989.12x = 4,831,430,662.56
  5. Step 5: Solve for x
    x = 4,831,430,662.56/74,989.12
  6. Step 6: Final answer
    x = 64,428.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.